U2L4 Congruent Triangles, Part 2

Match each statement using only the information shown in the pairs of congruent triangles.

• Angle - Side - Angle

• 
• Side - Angle - Side

• 
• 3 pairs of congruent sides.

• 

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

What is the least amount of information that you need to construct a triangle congruent to this one?

The length of ​ (a)   LK and LJ and the measure of​ (b)   JLK.

• line segments
• angle

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.D.12

CCSS.HSG.SRT.B.5

Select all true statements after the transformations:

• Angle A coincides with angle E.

• Angle B coincides with angle F.

• Segment AB coincides with segment EF.

• Segment BC coincides with segment DF.

• Segment AC coincides with segment ED.

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Explain why the image of segment CB lines up with segment CD.

The image of ​ (a)   and segment CD ​ (b)   after rotating because we defined our ​ (c)   that way.

• segment CB
• coincide
• rotation

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Explain why the image of B coincides with D.

Transformations preserve ​ (a)   so the image of point B and point D are the same ​ (b)   along the same ray from C they have to ​ (c)   .

• distance
• coincide

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Is triangle ABC congruent to triangle EDC? Explain your reasoning.

​ (a)   . The rotation would also make A coincide with ​ (b)   . So there is a rigid motion that takes ABC onto ​ (c)   .

• Yes
• No
• E
• F
• EDC

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Why is Clare's congruence statement incorrect?

While sides AB and CD are ​ (a)   and congruent, the congruence statement also tells us corresponding ​ (b)   .

Angle A is not congruent to angle​ (c)   as Clare's statement indicates.

• corresponding
• angles
• C

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Select all statements that must be true.

• Triangle FGH is congruent to triangle FEH.

• Triangle EFH is congruent to triangle GFH.

• Angle EFG is congruent to angle EHG.

• Segment EH is congruent to segment FG.

• Segment GH is congruent to segment EH.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

• A rectangle has 2 pairs of parallel sides.

• Any 2 sides of a rectangle are congruent.

• Corresponding parts of congruent figures are congruent.

• Congruent parts of congruent figures are corresponding.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7